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Finding the Fourth Proportional to 506,409.85, 698,843.87 and 280,050.49

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Solution

The fourth proportional to 506,409.85, 698,843.87 and 280,050.49 is: 386,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,409.85 : 698,843.87 = 280,050.49 : x
  2. Step 2: Convert to fraction form
    506,409.85/698,843.87 = 280,050.49/x
  3. Step 3: Cross multiply
    506,409.85x = 698,843.87 × 280,050.49
  4. Step 4: Simplify right side
    506,409.85x = 195,711,566,826.74
  5. Step 5: Solve for x
    x = 195,711,566,826.74/506,409.85
  6. Step 6: Final answer
    x = 386,468.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.